A line passes through the points (4,8) and (2,0). What is its equation in slope-intercept
form?

Answers

Answer 1

Answer:

The answer is y = 4x - 8.

Step-by-step explanation:

☆Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Slope-intercept: [tex]y = mx + b[/tex]

---

☆We need to find the slope first. So just plug in according to the slope formula!

[tex]m = \frac{0 - 8}{2 - 4} = \frac{ - 8}{ - 2} = 4[/tex]

---

☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

[tex]y = mx + b \\ 8 = 4(4) + b \\ 8 = 16 + b \\ \frac{ - 16 = - 16 \: \: \: \: \: \: \: \: \: \: \: \: }{ - 8 = b \: \: \: \: \: \: \: \: \: \: \: \: \: \: } [/tex]

---

☆Now all we need to do is plug in and we are done!

[tex]y = 4x - 8[/tex]

▪Happy To Help <3


Related Questions

c=5

9/5c +32=

9/5 × 5/1

45/5+32

9+32

c=41

Brushing up on skills but wasn't sure. May I have help, please? Thank you! ​

Answers

Correct.

9/5c+32

substitute c to 5

multiply 9/5 to 5

then add 32

Done

April invests in an annually compounded account with an interest rate of 4.1%. After 6 years, she plans to have $8600 in her account. For this to be true, what must be her initial investment?

Answers

Answer:

d

Step-by-step explanation:

i think so

Answer:

Step-by-step explanation:

6758

Must round 6757.62 to nearest whole

6x + 2(3x – 9y + 5) + (-9)

Answers

12x - 18y + 1 is your answer
12x - 18y + 1 < that is if you’re trying to simplify

The Florida Panther can run at a rate of 35 miles per hour. How many miles can the panther run in 3 hours?

Answers

Answer:

105 miles in 3 hours

Step-by-step explanation:

Your Welcome

K-3/2=10 then k=??????? Helpppppppppppppppppppp meeeeeeee

Answers

Answer:

11 1/2   or    23/2

Step-by-step explanation:

K = 10 + 3/2 = 10 + 1 + 1/2

WILL MARK BRAINLIEST

30 POINTSSS

Answers

Answer: 2/5y and -.2y are like terms, and -6 and -2 are like terms

Step-by-step explanation:

Answer:

Hey! Seems like you already have an answer but I am going to tell you why it's your answer!

Step-by-step explanation:

So 2/5y and 0.2y are like terms because they both have a letter at the end are a variable. Now -6 and -2 or both negative numbers so what you're looking out for or matching sign's like the one's I put above hope this helps a bit!!! Good Luck!!!!

There is a bag with only red marbles and blue marbles the probability of randomly choosing a red marble is 7/12 there are 42 red marbles in the bag and each is equally likely to be chosen work out how many marbles there must be

Answers

Answer:

72

Step-by-step explanation:

Given that:

P(Red) = Probability of randomly choosing a red

Probability of randomly choosing a red = 7/12

Number of red marbles = 42

The number of marbles in the bag :

P(Red) = number of red marbles / total number of marbles

Total number of marbles = (red marbles + blue marbles)

P(red) = 7/ 12 ;number of red = 42

P(Red) = number of red marbles / total number of marbles

Let:

x = total number of marbles

7/12 = 42 / x

(7/ 12)x = 42

7x / 12 = 42

7x = 12 * 42

7x = 504

x = 504 / 7

x = 72

What does (Y) equal?

2(5 + y) = 18

Answers

Answer:

y = 4

Step-by-step explanation:

distribute

10 + 2y = 18

minus 10 from both sides

2y = 8

divide by 2

y = 4

Answer: y=4

Step-by-step explanation:

2(5+y)=18

youre going to start by distributing the 2 to (5+y)

10+2y=18

then subract 10 from 18

2y=8

and then divide 2 on both sides

y=4

21. Solve and graph:
7(h+3) > 6(h - 3)

Answers

Answer: h>-39

Step-by-step explanation:

On a certain hot​ summer's day, 195 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $383.75. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

3x-x+2=4

Step-by-step explanation:

Children = x

Adults = y

x + y = 754...1

1.50x + 2.25y = 1422...2

Multiply (1) by 2.25

2.25x + 2.25y = 1696.50...3

1.50x + 2.25y = 1422...2

Subtract (2) from (3)

0.75x = 274.50

x = 366

Substitute x = 366 in (1)

x + y = 754

366 + y = 754

y = 388

366 children and 388 adults swam at the pool.

An item is originally $52. It is on sale for 20% off. What is the sale price?

Answers

Answer:

$41.6

Step-by-step explanation:

20/100 x 52 = 10.4

52 - 10.4 = 41.6

y = 5x-3
Given x = 9
y =

Answers

5(9) - 3
45 - 3
42

y=42

Please answer this correctly without making mistakes

Answers

2.12500 pounds
Got this off the Internet

If y is 9, what is x?

Answers

Answer:

Ima just steal the points

Step-by-step explanation:

Please help I will give you a brainliest

Answers

Answer: it is red

Step-by-step explanation:

With an increase in temperature, the particles move faster as they gain kinetic energy

red, the higher the temp is, u can see the particles move farther apart which indicates movement

can someone pls help me! thank you!

Answers

Answer:

6 hours

Step-by-step explanation:

she played game 25% of the time.

25% of 30 hours is 7.5 hours

she researched 5% of the time.

5% of 30 hours is 1.5 hours

so she played game 7.5-1.5=6 more hours than she researched

Please solve this
Need help

Answers

Answer:

See answer below

Step-by-step explanation:

There is NO elementary function that gives the antiderivative of e^(-x^2)

This expression in fact is called the Gaussian integral, since it gives the Gaussian bell curve.

Its integration is done by numerical methods, it is widely used in Statistics, and there are tables to calculate definite integrals associated with probability distributions.

how do I graph the proportional relationship of y=2.25×​

Answers

Answer:

[tex]y = 2.25x \\ \boxed{y = \frac{9}{4} x}[/tex]

Slope=9/4 and intercept=0

Coordinates :---

• (x, y)

→(-2, -9/2)

→(-1, -9/4)

→(0, 0)

→(1, 9/4)

→(2, 9/2)

what is equivalent to 60% of 25​

Answers

60% of 25 is 15 I hope this helps

What is the answer for 5x+17>37

Answers

Answer:

x > 4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

frances can complete 91 oil changes in 7 days How many oil changes can Frances complete in 11 days .

Answers

Answer:

143

Step-by-step explanation:

PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE

Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.


A. 2 x ? = 7 1/2

B. 7 1/2 x ? = 2

C. 2 x 7 1/2 = ?

D. ? x 7 1/2 = 2

E. ? x 2 = 7 1/2

PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE

Answers

I think it’s b 7 1/2 will need to be divided by 2 to find x

Step-by-step explanation:

7 [tex]\frac{1}{2}[/tex] ÷ 2

A. 2 × ? = 7[tex]\frac{1}{2}[/tex]

   Divide 2 on both sides to bring all the constants on one side...

   ? = 7 1/2 ÷ 2

B. 7 1/2 x ? = 2

  Divide 7 1/2 on both sides to isolate the ?

  ? = 2 ÷ 7 1/2

C. 2 x 7 1/2

    You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2

D. ? x 7 1/2 = 2

   Divide 7 1/2 on both sides

    ? = 2÷ 7 1/2

E. It's basically the same thing as A

Whatever is bolded is the answer

I hope this made sense and I hope this helps!!!

the pie chart shows the information about the favourite ice cream flavour of each student in a school there are 720 students in a school complete the table​

Answers

Answer:

chocolate= 180 students

vanilla= 120

strawberry= 210

mango= 210

Step-by-step explanation:

The chocolate section of the pie chart is at a right angle (90 degrees), which means a quarter of the students prefer chocolate

720/4= 180

The vanilla section is 60 degrees which is 2/3 of 90

180/3=60

60x2=120

the mango and strawberry sections represent whats left which is 420 students. The sections are equal to each other so they're each 210 students

Eureka has 20 yo-yos she has two times as many yo-yos as Polly how many yo-yos does polly have?

Answers

Answer:

Polly has 10 yo-yos.

Step-by-step explanation:

Since Eureka has 20 yo-yos, and has twice as many yo-yos as Polly, to determine the number of yo-yos that Polly has it is necessary to perform the following equation:

Polly's Yo-yos = X

Eureka's Yo-yos = 2X

20 = 2X

20/2 = X

10 = X

Therefore, Polly has 10 Yo-yos, half the number Eureka has.

Answer:

10

Step-by-step explanation:


Please help me asap

Answers

Answer:

the answer is C. y=3x-4

Step-by-step explanation:

the slope can be found by taking two points and putting them in this equation:

[tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]

so using the first two points, the equation would be

[tex]\frac{2-(-1) }{2-1}[/tex]

giving you 3 for the slope

the y-intercept (where x=0) is found by subtracting 3 from -1 which is -4.

Suppose we want to estimate the average weight of an adult male in Mexico. We draw a random sample of 2,000 men from a population of 3,000,000 men and weigh them. We find that the average person in our sample weighs 200 pounds, and the standard deviation of the sample is 30 pounds. Calculate 94%,98%,96% confidence interval

Answers

Answer:

1.- CI = 94% (  μ₀ -  1,04   <  x   <   μ₀ +  1,04 )

2.- CI = 98 % ( μ₀ - 2,05  <  x   <   μ₀ + 2,05 )

3.- CI = 96 %  (  μ₀ - 1,75  <  x   <   μ₀  + 1,75 )

Step-by-step explanation:

Sample size      n  = 3000000

Sample mean   x  =  200

Standard deviation   s  =  30

From  z-table values of z(c):

CI  94 %        Confidencial level   α = 6 %   α = 0,06   z(c) = 1,55

CI  98 %        Confidencial level   α = 2 %   α = 0,02   z(c) = 2,05

CI  96 %        Confidencial level   α = 4 %   α = 0,04   z(c) =  1,75

MOE = z(c) * σ/√n

1.-MOE =  1,55* 30 / √2000    MOE = 1,04

2.-MOE = 2,05*30/√2000      MOE = 1,38

3.-MOE = 1,75*30/√2000        MOE = 1,17

Then CI

1.-  CI = 94 %     (  μ₀ -  MOE <  x  <   μ₀ -  MOE )

     CI  =  (  μ₀ -  1,04   <  x   <   μ₀ +  1,04 )

2.-CI = 98 %

     CI  = (    μ₀ - 2,05  <  x   <   μ₀ + 2,05 )

3.- CI = 96 %

     CI = (  μ₀ - 1,75  <  x   <   μ₀  + 1,75 )

Using the t-distribution, it is found that:

The 94% confidence interval is (198.73, 201.27).The 96% confidence interval is (198.61, 201.39).The 98% confidence interval is (198.43, 201.57).

We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The information given is:

Sample mean of [tex]\overline{x} = 200[/tex]. Sample standard deviation of [tex]s = 30[/tex]. Sample size of [tex]n = 2000[/tex].

The interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which t is the critical value for the two-tailed confidence interval.

Considering a 94% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 1.8916, hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 1.8916\frac{30}{\sqrt{2000}} = 198.73[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 1.8916\frac{30}{\sqrt{2000}} = 201.27[/tex]

The 94% confidence interval is (198.73, 201.27).

Considering a 96% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.0673, hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.0673\frac{30}{\sqrt{2000}} = 198.61[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.0673\frac{30}{\sqrt{2000}} = 201.39[/tex]

The 96% confidence interval is (198.61, 201.39).

Considering a 98% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.3452, hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.3452\frac{30}{\sqrt{2000}} = 198.43[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.3452\frac{30}{\sqrt{2000}} = 201.57[/tex]

The 98% confidence interval is (198.43, 201.57).

You can learn more about the use of the t-distribution to build a confidence interval at https://brainly.com/question/16162795

Tell whether x and y show direct variation. Explain your reasoning.

1. x + y = 6

2. y - x = 0

3. y/x = 20

4. x = y + 2

Answers

Answer:

a certain number that i do not know

Step-by-step explanation:

a certain number that i do not know

Solve the equation X-12/4=9
X=44
X=83
X=48
X=25

Answers

Answer:

X=48

Step-by-step explanation:

Help Please!! i will give 25 points and Brainliest answer!!

Answers

Answer:

L x W (original)

(L+3) x w     (one dimension changed)

(L+3)(W+3)   (both dimensions changed)  

Step-by-step explanation:

Rectangle when one dimension increase 3 units, area will change from original (L and w are its two sides)

L x W to (L+3) x w

If both dimension increase 3 units, the area will become

(L+3)(W+3)

2,400 divided by what is 30?​

Answers

Answer:

80

Step-by-step explanation:

Just use 2,400 / 30 to solve. The answer should be 80:

Therefore, 2,400 / 80 = 30

Hope this helps :)

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